diff --git a/prometheus_client/metrics.py b/prometheus_client/metrics.py
index 39daac2d..4c53b26b 100644
--- a/prometheus_client/metrics.py
+++ b/prometheus_client/metrics.py
@@ -109,6 +109,10 @@ def __init__(self: T,
                  registry: Optional[CollectorRegistry] = REGISTRY,
                  _labelvalues: Optional[Sequence[str]] = None,
                  ) -> None:
+
+        self._original_name = name
+        self._namespace = namespace
+        self._subsystem = subsystem
         self._name = _build_full_name(self._type, name, namespace, subsystem, unit)
         self._labelnames = _validate_labelnames(self, labelnames)
         self._labelvalues = tuple(_labelvalues or ())
@@ -176,13 +180,25 @@ def labels(self: T, *labelvalues: Any, **labelkwargs: Any) -> T:
             labelvalues = tuple(str(l) for l in labelvalues)
         with self._lock:
             if labelvalues not in self._metrics:
+
+                original_name = getattr(self, '_original_name', self._name)
+                namespace = getattr(self, '_namespace', '')
+                subsystem = getattr(self, '_subsystem', '')
+                unit = getattr(self, '_unit', '')
+
+                child_kwargs = dict(self._kwargs) if self._kwargs else {}
+                for k in ('namespace', 'subsystem', 'unit'):
+                    child_kwargs.pop(k, None)
+
                 self._metrics[labelvalues] = self.__class__(
-                    self._name,
+                    original_name,
                     documentation=self._documentation,
                     labelnames=self._labelnames,
-                    unit=self._unit,
+                    namespace=namespace,
+                    subsystem=subsystem,
+                    unit=unit,
                     _labelvalues=labelvalues,
-                    **self._kwargs
+                    **child_kwargs
                 )
             return self._metrics[labelvalues]
 
diff --git a/tests/test_multiprocess.py b/tests/test_multiprocess.py
index 77fd3d81..e7ca154e 100644
--- a/tests/test_multiprocess.py
+++ b/tests/test_multiprocess.py
@@ -396,6 +396,116 @@ def test_remove_clear_warning(self):
             assert "Removal of labels has not been implemented" in str(w[0].message)
             assert issubclass(w[-1].category, UserWarning)
             assert "Clearing labels has not been implemented" in str(w[-1].message)
+    
+    def test_child_name_is_built_once_with_namespace_subsystem_unit(self):
+        """
+        Repro for #1035:
+        In multiprocess mode, child metrics must NOT rebuild the full name
+        (namespace/subsystem/unit) a second time. The exported family name should
+        be built once, and Counter samples should use "<family>_total".
+        """
+        from prometheus_client import Counter
+
+        class CustomCounter(Counter):
+            def __init__(
+                self, 
+                name, 
+                documentation, 
+                labelnames=(),
+                namespace="mydefaultnamespace", 
+                subsystem="mydefaultsubsystem",
+                unit="", 
+                registry=None, 
+                _labelvalues=None
+            ):
+                # Intentionally provide non-empty defaults to trigger the bug path.
+                super().__init__(
+                    name=name, 
+                    documentation=documentation,
+                    labelnames=labelnames, 
+                    namespace=namespace,
+                    subsystem=subsystem, 
+                    unit=unit, 
+                    registry=registry,
+                    _labelvalues=_labelvalues)
+
+        # Create a Counter with explicit namespace/subsystem/unit
+        c = CustomCounter(
+            name='m',
+            documentation='help',
+            labelnames=('status', 'method'),
+            namespace='ns',
+            subsystem='ss',
+            unit='seconds',   # avoid '_total_total' confusion
+            registry=None,    # not registered in local registry in multiprocess mode
+        )
+
+        # Create two labeled children
+        c.labels(status='200', method='GET').inc()
+        c.labels(status='404', method='POST').inc()
+
+        # Collect from the multiprocess collector initialized in setUp()
+        metrics = {m.name: m for m in self.collector.collect()}
+
+        # Family name should be built once (no '_total' in family name)
+        expected_family = 'ns_ss_m_seconds'
+        self.assertIn(expected_family, metrics, f"missing family {expected_family}")
+
+        # Counter samples must use '<family>_total'
+        mf = metrics[expected_family]
+        sample_names = {s.name for s in mf.samples}
+        self.assertTrue(
+            all(name == expected_family + '_total' for name in sample_names),
+            f"unexpected sample names: {sample_names}"
+        )
+
+        # Ensure no double-built prefix sneaks in (the original bug)
+        bad_prefix = 'mydefaultnamespace_mydefaultsubsystem_'
+        all_names = {mf.name, *sample_names}
+        self.assertTrue(
+            all(not n.startswith(bad_prefix) for n in all_names),
+            f"found double-built name(s): {[n for n in all_names if n.startswith(bad_prefix)]}"
+        )
+
+    def test_child_preserves_parent_context_for_subclasses(self):
+        """
+        Ensure child metrics preserve parent's namespace/subsystem/unit information
+        so that subclasses can correctly use these parameters in their logic.
+        """
+        class ContextAwareCounter(Counter):
+            def __init__(self,
+                         name,
+                         documentation,
+                         labelnames=(),
+                         namespace="",
+                         subsystem="",
+                         unit="",
+                         **kwargs):
+                self.context = {
+                    'namespace': namespace,
+                    'subsystem': subsystem,
+                    'unit': unit
+                }
+                super().__init__(name, documentation,
+                                 labelnames=labelnames,
+                                 namespace=namespace,
+                                 subsystem=subsystem,
+                                 unit=unit,
+                                 **kwargs)
+
+        parent = ContextAwareCounter('m', 'help',
+                                     labelnames=['status'],
+                                     namespace='prod',
+                                     subsystem='api',
+                                     unit='seconds',
+                                     registry=None)
+
+        child = parent.labels(status='200')
+
+        # Verify that child retains parent's context
+        self.assertEqual(child.context['namespace'], 'prod')
+        self.assertEqual(child.context['subsystem'], 'api')
+        self.assertEqual(child.context['unit'], 'seconds')
 
 
 class TestMmapedDict(unittest.TestCase):